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Finding the Fourth Proportional to 221.29, 305.44 and 128.09

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Solution

The fourth proportional to 221.29, 305.44 and 128.09 is: 176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.29 : 305.44 = 128.09 : x
  2. Step 2: Convert to fraction form
    221.29/305.44 = 128.09/x
  3. Step 3: Cross multiply
    221.29x = 305.44 × 128.09
  4. Step 4: Simplify right side
    221.29x = 39,124.47
  5. Step 5: Solve for x
    x = 39,124.47/221.29
  6. Step 6: Final answer
    x = 176.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.